
Título: Robust Nonlinear Control Design: State-Space and Lyapunov Techniques
Autor: Randy Freeman, Petar V. Kokotovic
Sinopse: This book presents advances in the theory and design of robust nonlinear control systems. In the first part of the book, the authors provide a unified framework for state-space and Lyapunov techniques by combining concepts from set-valued analysis, Lyapunov stability theory, and game theory. Within this unified framework, the authors then develop a variety of control design methods suitable for systems described by low-order nonlinear ordinary differential equations. Emphasis is placed on global controller designs, that is, designs for the entire region of model validity. Because linear theory deals well with local system behavior (except for critical cases in which Jacobian linearization fails), the authors focus on achieving robustness and performance for large deviations from a given operation condition. The purpose of the book is to summarize Lyapunov design techniques for nonlinear systems and to raise important issues concerning large-signal robustness and performance. The authors have been the first to address some of these issues, and they report their findings in this text. For example, they identify two potential sources of excessive control effort in Lyapunov design techniques and show how such effort can be greatly reduced. The researcher who wishes to enter the field of robust nonlinear control could use this book as a source of new research topics. For those already active in the field, the book may serve as a reference to a recent body of significant work. Finally, the design engineer faced with a nonlinear control problem will benefit from the techniques presented here. "The text is practically self-contained. The authors offer all necessary definitions and give a comprehensive introduction. Only the most basic knowledge of nonlinear analysis and design tools is required, including Lyapunov stability theory and optimal control. The authors also provide a review of set-valued maps for those readers who are not familiar with set-valued analysis. The book is intended for graduate students and researchers in control theory, serving as both a summary of recent results and a source of new research problems. In the opinion of this reviewer the authors do succeed in attaining these objectives." — Mathematical Reviews
Contexto da obra
Quando a classificação é mais ampla, o contexto do livro costuma depender ainda mais de autoria, tema e edição. “Robust Nonlinear Control Design: State-Space and Lyapunov Techniques”, de Randy Freeman, Petar V. Kokotovic, publicado pela editora Birkhäuser, em 2008 e com 274 páginas, integra a categoria Livros Variados. Por isso, autoria, edição e tema acabam tendo ainda mais peso na forma de apresentar o livro.
Editora: Birkhäuser
Páginas: 274
Ano: 2008
Edição:
Linguagem: pt_BR
ISBN: 9780817647582
ISBN13: 9780817647582
Sobre a editora
Os livros da editora Birkhäuser apresentam uma abordagem rigorosa e detalhada em temas avançados de matemática aplicada e teórica, com foco em áreas como análise não linear, equações diferenciais, sistemas dinâmicos e geometria. A leitura costuma exigir familiaridade com conceitos matemáticos sólidos, pois o tom é técnico e progressivo, com exposições que vão do clássico ao contemporâneo. O catálogo sugere obras que dialogam com problemas científicos e tecnológicos, incluindo aplicações em biologia, física e engenharia, sempre com um viés formal e estruturado. Há também textos que exploram fundamentos históricos e metodológicos, além de coletâneas de artigos de conferências especializadas.
